If , then the value of the determinant vmatrix y & y_1 & y_2 y_3 & y_4 & y_5 y_6 &…

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

y = \sin mx

, then the value of the determinant

\begin{vmatrix} y & y_1 & y_2 \\ y_3 & y_4 & y_5 \\ y_6 & y_7 & y_8 \end{vmatrix} \text{ where } y_n = \frac{d^n y}{dx^n}, \text{ is}

(a)

m^9

(b)

m^2

(c)

m^3

(d) none of these